tahayassen said:Homework Statement
[tex]\frac { x+100 }{ 1+\frac { 100x }{ { 100 }^{ 2 } } }[/tex]
Homework Equations
The Attempt at a Solution
Wolfram Alpha somehow managed to simplify the equation to just simply 100. Here's my attempt:
[tex]\frac { x+100 }{ 1+\frac { 100x }{ { 100 }^{ 2 } } } \\ =\frac { x+100 }{ 1+\frac { 100x }{ { 100 }^{ 2 } } } *\frac { 100 }{ 100 } \\ =\frac { 100x+{ 100 }^{ 2 } }{ 100+x }[/tex]
micromass said:Can you factorize the numerator?? Can you write it as 100+x times some number?
To simplify an equation, you need to collect like terms and combine them. This involves using the distributive property, combining constants, and combining like variables. You may also need to use inverse operations to isolate a variable.
Yes, the order of operations (PEMDAS) can be used to simplify an equation. Start by simplifying within parentheses, then work your way through exponents, multiplication and division from left to right, and finally addition and subtraction from left to right.
The main purpose of simplifying an equation is to make it easier to solve and understand. It allows you to see the relationship between different terms and variables more clearly and helps to eliminate unnecessary steps in solving the equation.
There is no one specific method for simplifying equations, as it depends on the specific equation and its components. However, some common techniques include factoring, combining like terms, using the distributive property, and isolating variables through inverse operations.
While a calculator may be helpful in checking your work, it is not recommended to rely on it solely for simplifying equations. Simplifying equations requires critical thinking and understanding of mathematical concepts, which a calculator cannot provide. It is important to show your work and understand the steps involved in simplifying an equation.